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2 years ago

Ten less than 3 times a number is the same as the number plus 4. What is the number?

Mathematics

1 answer:

lys-0071 [83]2 years ago

6 0

Answer:

3x-10=x+4

Step-by-step explanation:

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What is the constant of proportionality between y/x

Y_Kistochka [10]

Answer:

3.5

Step-by-step explanation:

To find the constant of proportionality between y/x you investigate the trend in values of x with corresponding values of y

For this case, when x =1, y=3.5

when x=2, y=7

Taking in case 1, y/x = 3.5/1 = 3.5

In case 2, y/x= 7/2 = 3.5

But you know that the constant of proportionality k is given by;

y=kx------------------------making k subject of formula

y/x=k

Hence in this case, your constant of proportionality is 3.5

8 0

3 years ago

An elephant can run of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs i

Mice21 [21]

Answer:

The expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour

Solution:

Given that,

Distance covered by an elephant in 36 seconds is equal to 1 mile

Therefore, distance covered by the elephant in 1 second is $\frac{1}{36}$ mile

Therefore, distance covered by the elephant in 60 seconds (60 seconds = 1 minute) is

$\frac{1}{36} \times 60=\frac{5}{3} \text { miles }$

Therefore, distance covered by the elephant in 60 minute (60 minute = 1 hour) is

$\frac{5}{3} \times 60=100 \text { miles per hour }$

Hence the expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour

7 0

3 years ago

I think it’s b but I’m not sure but can somebody help me

aev [14]

Answer:

Step-by-step explanation:

The small triangle is half the size of the entire triangle. 27/2 = 13.5

4 0

3 years ago

I need help asap with this iready lesson!!!!

Ksju [112]

Answer:

top left

Step-by-step explanation:

8 0

3 years ago

Can someone explain the process getting from:

spin [16.1K]

$\rm 5=e^{3b}$

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

$\rm log_e(5)=log_e(e^{3b})$

We'll apply one of our log rules next:
$\rm \log(x^y)=y\cdot\log(x)$

This allows us to take the exponent out of the log,

$\rm log_e(5)=(3b)log_e(e)$

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
$\rm log_{10}(10)=1$
$\rm log_5(5)=1$
$\rm log_e(e)=1$

So our equation simplifies to this,

$\rm log_e(5)=(3b)\cdot1$

As a final step, divide both sides by 3,

$\rm \frac13log_e(5)=b$

k, hope that helps!

6 0

3 years ago